Question

Write a system of equations or inequalities to represent each

situation. Write the systems in standard form and line up
the variables.
1. The middle school has a total of 456 students. There are 54 more
seventh graders than eighth graders.

Answer 1

201 eighth graders and 201 + 54 = 255 seventh graders at the middle school.

Explanation:

The system of equations representing the situation is:

x + 54 = 456 - x

2x + 54 = 456

2x = 402

x = 201

where x represents the number of eighth graders. So, there are 201 eighth graders and 201 + 54 = 255 seventh graders at the middle school.